Quantum critical transport in clean graphene

Details Quantum critical transport in clean graphene Quantum critical transport in clean graphene

2008-02-29

arxiv.org/abs/0802.4289v2

Physical Review B 78, 085416 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 1 figure; (v2) added comment on hydrodynamic long-time tails

Scientific paper

10.1103/PhysRevB.78.085416

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower frequencies. The d.c. conductivity is computed by the solution of a quantum Boltzmann equation. Due to a logarithmic singularity in the collinear scattering amplitude (a consequence of relativistic dispersion in two dimensions) quasi-particles and -holes moving in the same direction tend to an effective equilibrium distribution whose parameters depend on the direction of motion. This property allows us to find the non-equilibrium distribution functions and the quantum critical conductivity exactly to leading order in 1/|ln(alpha)| where alpha is the coupling constant characterizing the Coulomb interactions.

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